most citedLinearly repetitive Delone sets Delone sets with finite local complexity: Linear repetitivity versus positivity of weights

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math.CO2012★ 1 cited

Linearly repetitive Delone sets Delone sets with finite local complexity: Linear repetitivity versus positivity of weights

Adnene Besbes, Michael Boshernitzan, Daniel Lenz

We consider Delone sets with finite local complexity. We characterize validity of a subadditive ergodic theorem by uniform positivity of certain weights. The latter can be consider…